Question

sum of tow consecutive odd numbers is 100. what are the numbers​

Answer 1

Answer:

49 & 51

Explanation:

Given that,

Sum of two consecutive odd numbers is 100.

Let's say that one number is $\rm x$

Then, the another number will be $\rm (x + 2)$

According to the question,

$\implies \rm \:x + x + 2 = 100$

$\implies \rm \:2x + 2 = 100$

$\implies \rm \:2x = 100 - 2$

$\implies \rm \:2x = 98$

$\implies \rm \:x = \dfrac{98}{2}$

$\implies \rm \:x = 49$

${ \underline{ \sf{ \therefore{The \: one \: number \: is \: 49}}}}$

And also, the other number is,

$\rm (x + 2) = 49 + 2 = 51$

Required answer: 49 & 51

Answer 2

$\large \frak \green{ \pmb{ \underline{Given : }}}$

• Sum of two consecutive odd numbers is 100.

$\large\frak \green{ \pmb{ \underline{To \: find :}}}$

• What are that two consecutive odd numbers..!?

$\large \frak \green{ \pmb{ \underline{Solution : }}}$

$\sf{ \:let \: consider \: that \: one \: odd \: number \: be \: x.}$

$\sf{ \therefore \: second \: consecutive \:odd \: number \: will \: be \: x + 2}$

$\sf{ \qquad : \implies \: x + x + 2 = 100}$

$\sf{ \qquad : \implies \: 2x + 2 = 100}$

$\sf{ \qquad : \implies \: 2x = 100 - 2}$

$\sf{ \qquad : \implies \: 2x = 98}$

$\sf{ \sf{ \qquad : \implies \: x = \frac{ { \cancel{98}} \: \: ^ {49} }{ \cancel2} }}$

$\sf{ \qquad : \implies \: { \fbox {\sf \pink{\underline{ x = 49}}}}}$

$\large\frak \green{ \pmb{ \underline{Verification : }}}$

$\sf{ \therefore \: Second \: consecutive \: odd \: number = x + 2 = 49 + 2 = 51}$

$\sf{ \therefore \: 49 + 51 = 100}$

$\qquad \: \: \: \: \: \: \: \: \: \: \tt\underline{Hence \: verified \: \ddot \smile}$